Title

Emergent Irreversibility And Entanglement Spectrum Statistics

Abstract

We study the problem of irreversibility when the dynamical evolution of a many-body system is described by a stochastic quantum circuit. Such evolution is more general than a Hamiltonian one, and since energy levels are not well defined, the well-established connection between the statistical fluctuations of the energy spectrum and irreversibility cannot be made. We show that the entanglement spectrum provides a more general connection. Irreversibility is marked by a failure of a disentangling algorithm and is preceded by the appearance of Wigner-Dyson statistical fluctuations in the entanglement spectrum. This analysis can be done at the wave-function level and offers an alternative route to study quantum chaos and quantum integrability. © 2014 American Physical Society.

Publication Date

6-16-2014

Publication Title

Physical Review Letters

Volume

112

Issue

24

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1103/PhysRevLett.112.240501

Socpus ID

84902807543 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84902807543

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